Rational Functions

Question

Create a rational function with a linear binomial in both the numerator and denominator.

Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x- and y-intercepts on your graph. Label the asymptotes and intercepts.

Part 2. Show all work to identify the vertical asymptote, the x-intercepts, and the y-intercept.

My equation= y = (3x - 4)/(x + 2)

I also graphed it already

y-intercept= -2

x-intercept= 4/3

I just need help calculating the asymptotes, please

Answer 1

You https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/identify-vertical-and-horizontal-asymptotes/

To find vertical asymptotes, after factoring set the denominator = 0. Solve for x.

x+2 = 0 x=-2 is the vertical asymptote.

When the degree in the numerator and denominator are the same, the asymptote is the fraction represented by the coefficients on the highest power of x.

3x on top, x on the bottom.

The horizontal asymptote is y = 3/1 = 3.

https://www.symbolab.com/solver/function-asymptotes-calculator